Primes, exponential sums, and L-functions
Appears in collections : Dynamics and graphs over finite fields: algebraic, number theoretic and algorithmic aspects / Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques, Exposés de recherche
This talk will survey some recent directions in the study of prime numbers that rely on bounds of exponential sums and advances in sieve theory. I will also describe some new results on the Riemann zeta function and Dirichlet functions, and pose some open problems.